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4076040032 = 254710126833
BaseRepresentation
bin1111001011110011…
…0110111101100000
3101112001210021202122
43302330312331200
531321431240112
61512243403412
7203002524431
oct36274667540
911461707678
104076040032
111801900229
12959083568
134cc5c650c
142a94a9488
1518cc95872
hexf2f36f60

4076040032 has 48 divisors (see below), whose sum is σ = 8276893632. Its totient is φ = 1974835200.

The previous prime is 4076040019. The next prime is 4076040049. The reversal of 4076040032 is 2300406704.

It is a happy number.

It is a super-2 number, since 2×40760400322 = 33228204684933122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4076039983 and 4076040010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138488 + ... + 165320.

It is an arithmetic number, because the mean of its divisors is an integer number (172435284).

Almost surely, 24076040032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138446816).

4076040032 is an abundant number, since it is smaller than the sum of its proper divisors (4200853600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4076040032 is a wasteful number, since it uses less digits than its factorization.

4076040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26991 (or 26983 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 4076040032 is about 63843.8723136371. The cubic root of 4076040032 is about 1597.3968127654.

Adding to 4076040032 its reverse (2300406704), we get a palindrome (6376446736).

The spelling of 4076040032 in words is "four billion, seventy-six million, forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 94 101 188 202 376 404 752 808 1504 1616 3232 4747 9494 18988 26833 37976 53666 75952 107332 151904 214664 429328 858656 1261151 2522302 2710133 5044604 5420266 10089208 10840532 20178416 21681064 40356832 43362128 86724256 127376251 254752502 509505004 1019010008 2038020016 4076040032